Sentence examples for analytically expressing from inspiring English sources

On the interval α n  ∈, analytically expressing the curvature of p(α n ) is difficult, since the curvature of function p ~ ( α n ) depends on the numerical parameters.

Then the cycle performance was analytically expressed under the optimal COP conditions.

Weakness of pseudospecies boundaries are analytically expressed by means of a singular perturbation parameter.

The parameters, of the transfer functions are analytically expressed completely in terms of basic design parameters and hold up.

It is found that numerical diffusion can be analytically expressed in a form similar to that of viscous diffusion.

This upper limit is analytically expressed by the model parameters, while its calculated value is verified by the observational data.

The non-dimensional harvestable power is analytically expressed as the function of the non-dimensional curvature parameter and one constructed parameter.

The frequency components of the non-linear restoring force part are analytically expressed from those of the displacement part, using the Galerkin technique to guarantee a convergent solution.

The relationship of the coverage to the quality of diagnosis and control is analytically expressed, and the monotonic dependence of the system level reliability on the coverage is formally established.

The proposed approach ultimately analytically expresses the displacement of the design model as a function of the design variables, and consequently solves the optimization problem of porous structure design efficiently.

It has been derived that the axial intensity can be analytically expressed as a square of sinc function and the shaded angle of a center shaded filter can be explicitly calculated using either the expected Strehl ratio or axial gain.